Infinite Series -
Find the interval of convergence for the following geometric series and, within this interval, find the sum;
\[\sum_{n=2}^{Infinity} (x-1)^{n-1}/2^{n+1}\]
\[\sum_{n=0}^{Infinity} (x-1)^{n+1}/2^{n+3}\]
=(x-1)^n (x-1)^1 / (2^n * 2^3)
= (x-1)/8 * (x-1/2)^n
Sort of stuck where to go from here. I wasn't sure if A = (x-1)/8 and r= (x-1)/2 and I just use a/(1-r) or what. Any help would be appreciated!

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are you trying to find where the 2 of them meet?

Not entirely sure what that means.

The sandwich method? I was using that for Sequences.

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